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80600284660416 = 26329128311282639
BaseRepresentation
bin10010010100111000110111…
…010101100000001011000000
3101120101022102102100022210120
4102110320313111200023000
541031023340333113131
6443231132024100240
722656115122416163
oct2224706725401300
9346338372308716
1080600284660416
112375543049a284
129058a60304680
1335c8760779431
1415c9108977ada
1594b8e9785496
hex494e375602c0

80600284660416 has 112 divisors (see below), whose sum is σ = 220780504742400. Its totient is φ = 25920100713472.

The previous prime is 80600284660381. The next prime is 80600284660429. The reversal of 80600284660416 is 61406648200608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502425 + ... + 12785063.

Almost surely, 280600284660416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80600284660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110390252371200).

80600284660416 is an abundant number, since it is smaller than the sum of its proper divisors (140180220081984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80600284660416 is a wasteful number, since it uses less digits than its factorization.

80600284660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283966 (or 11283956 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 80600284660416 in words is "eighty trillion, six hundred billion, two hundred eighty-four million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1283 1392 1856 2566 2784 3849 5132 5568 7698 10264 15396 20528 30792 37207 41056 61584 74414 82112 111621 123168 148828 223242 246336 297656 446484 595312 892968 1190624 1785936 2381248 3571872 7143744 11282639 22565278 33847917 45130556 67695834 90261112 135391668 180522224 270783336 327196531 361044448 541566672 654393062 722088896 981589593 1083133344 1308786124 1963179186 2166266688 2617572248 3926358372 5235144496 7852716744 10470288992 14475625837 15705433488 20940577984 28951251674 31410866976 43426877511 57902503348 62821733952 86853755022 115805006696 173707510044 231610013392 347415020088 419793149273 463220026784 694830040176 839586298546 926440053568 1259379447819 1389660080352 1679172597092 2518758895638 2779320160704 3358345194184 5037517791276 6716690388368 10075035582552 13433380776736 20150071165104 26866761553472 40300142330208 80600284660416